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Finding the Fourth Proportional to 9,772.94, 13,482.09 and 6,233.91

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Solution

The fourth proportional to 9,772.94, 13,482.09 and 6,233.91 is: 8,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,772.94 : 13,482.09 = 6,233.91 : x
  2. Step 2: Convert to fraction form
    9,772.94/13,482.09 = 6,233.91/x
  3. Step 3: Cross multiply
    9,772.94x = 13,482.09 × 6,233.91
  4. Step 4: Simplify right side
    9,772.94x = 84,046,135.67
  5. Step 5: Solve for x
    x = 84,046,135.67/9,772.94
  6. Step 6: Final answer
    x = 8,599.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.